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Free Practice Questions for Castilla-La Mancha PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II - UCLM 2026)

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Key Facts: Castilla-La Mancha PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II - UCLM 2026) Exam

90 min

Official PAU UCLM exam duration

Tribunal PAU UCLM

0–10

Grading scale (minimum 4.0 in Access Phase)

Normativa PAU Universidad de Castilla-La Mancha

5 Blocks

Topic blocks per the official specifications matrix

UCLM PAU 2026

100

Practice questions in this assessment bank

OpenExamPrep

Prepare for the UCLM 2026 PAU Technical Drawing Applied to Arts II exam with 100 practice questions spanning geometry, transformations, descriptive projection, perspective, and normalization. This English-language multiple-choice bank is a study adaptation of the official written PAU paper, not a replica of it.

Sample Castilla-La Mancha PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II - UCLM 2026) Practice Questions

Try these sample questions to review concepts for the Castilla-La Mancha PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II - UCLM 2026) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which notable point of a triangle is defined as the point of intersection of its three interior angle bisectors, which is equidistant from all three sides?
A.Incenter
B.Orthocenter
C.Circumcenter
D.Centroid
Explanation: The incenter is the point where the three interior angle bisectors of a triangle intersect. This point is equidistant from all three sides and serves as the center of the inscribed circle (incircle).
2Which notable point of a triangle is equidistant from its three vertices and is formed by the intersection of the perpendicular bisectors of its sides?
A.Incenter
B.Circumcenter
C.Orthocenter
D.Centroid
Explanation: The circumcenter is defined as the point of intersection of the three perpendicular bisectors of a triangle's sides. It is equidistant from all three vertices and is the center of the circumscribed circle (circumcircle).
3In a triangle, the lines connecting each vertex to the midpoint of the opposite side are called medians. In what ratio does the centroid divide each median, measured from the vertex?
A.1:1 (exact midpoint)
B.3:1 (three-quarters of the total length from the vertex)
C.2:1 (two-thirds of the total length from the vertex)
D.1:2 (one-third of the total length from the vertex)
Explanation: The centroid (center of gravity) divides each median into two segments with a ratio of 2:1, placing the centroid at 2/3 of the total median length measured from the corresponding vertex.
4What is the sum of the interior angles of a convex polygon with n sides?
A.n * 180°
B.(n - 1) * 360°
C.(n + 2) * 90°
D.(n - 2) * 180°
Explanation: The sum S of the interior angles of any convex polygon with n sides is given by the general formula S = (n - 2) * 180°, because the polygon can be divided into (n - 2) triangles sharing a single vertex.
5In a regular hexagon inscribed in a circle of radius R, what is the length of each of its sides?
A.R
B.R * sqrt(2)
C.R * sqrt(3) / 2
D.2 * R / 3
Explanation: Each of the six triangles formed by connecting the center of a regular hexagon to its vertices is an equilateral triangle. Therefore, the side length of a regular hexagon is exactly equal to the radius R of the circumscribed circle.
6What is meant by the Golden Ratio (Golden Section, Phi ≈ 1.618) when a line segment AB is divided into two parts (larger segment 'a' and smaller segment 'b')?
A.The proportion where the larger segment 'a' is exactly twice the smaller segment 'b'.
B.The proportion where the total length (a + b) is to the larger segment 'a' as the larger segment 'a' is to the smaller segment 'b'.
C.The division of the segment into three equal parts of constant length.
D.The relationship where the arithmetic mean of 'a' and 'b' equals their geometric mean.
Explanation: The Golden Ratio establishes a continuous harmonic proportion such that the total length of the segment (a + b) is to the larger part 'a' as the larger part 'a' is to the smaller part 'b': (a + b) / a = a / b = Phi.
7In a non-equilateral triangle, the Euler line is a straight line that always passes through three notable points. Which three points are these?
A.Incenter, Circumcenter, and Centroid
B.Incenter, Orthocenter, and Excenter
C.Circumcenter, Centroid, and Orthocenter
D.Centroid, Incenter, and Orthocenter
Explanation: The Euler line of a non-equilateral triangle always contains the circumcenter, the centroid, and the orthocenter. The centroid lies between the other two points, at 1/3 of the distance from the circumcenter to the orthocenter.
8Depending on the type of triangle according to its angles (acute, right, or obtuse), where is its orthocenter located?
A.Always inside the triangle regardless of its angles.
B.Inside in acute triangles, at the right-angle vertex in right triangles, and outside the triangle in obtuse triangles.
C.On the midpoint of the longest side in right triangles and at infinity in obtuse triangles.
D.Always on one of its vertices regardless of the angles.
Explanation: The orthocenter (intersection of the altitudes) lies inside an acute-angled triangle, coincides with the vertex of the right angle in a right-angled triangle, and falls outside the triangle in an obtuse-angled triangle.
9Given two segments of length 'a' and 'b', what is the expression for the third proportional segment 'x' in the continuous proportion a / b = b / x?
A.x = (a * b) / 2
B.x = sqrt(a * b)
C.x = b^2 / a
D.x = a^2 / b
Explanation: In the continuous proportion a / b = b / x (where 'b' is the mean proportional and 'x' is the third proportional), solving for x yields x = b^2 / a.
10In a homothety (dilation) with center O and scale factor k = 3, if segment AB measures 4 cm and the area of polygon P is 10 cm^2, what are the transformed segment A'B' length and area of polygon P'?
A.A'B' = 12 cm and Area(P') = 30 cm^2
B.A'B' = 7 cm and Area(P') = 30 cm^2
C.A'B' = 12 cm and Area(P') = 90 cm^2
D.A'B' = 4 cm and Area(P') = 90 cm^2
Explanation: Linear lengths scale by factor k (A'B' = k * AB = 3 * 4 = 12 cm), whereas areas scale by factor k^2 (Area(P') = k^2 * Area(P) = 9 * 10 = 90 cm^2).

About the Castilla-La Mancha PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II - UCLM 2026) Exam

Official practice question bank for the Castilla-La Mancha PAU Technical Drawing Applied to Plastic Arts and Design II examination (UCLM 2026). Designed for 2º Bachillerato students in the Arts track preparing for university access.

Exam sponsor: University of Castilla-La Mancha PAU Tribunal. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The exam consists of practical graphic drawing problems and technical questions covering 5 core topic areas: Geometric Constructions & Polygons (25%), Tangency, Homothety & Geometric Transformations (25%), Descriptive Geometry & Orthographic Projection (25%), Axonometric & Perspective Projection Systems (15%), and Standardization, Normalization & Design Applications (10%). Time limit: 90 minutes.

Time Limit

90 minutes (1.5 hours)

Passing Score

Marked on a 0-10 scale. Minimum 4.0 required in Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU Access Phase >= 5.0 to pass).

Exam / Certification Fees

EUR 52.99 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Castilla-La Mancha).

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

25%

Geometric Constructions & Polygons

Fundamental plane geometry, triangle and polygon constructions, notable centers, proportionality, golden section, power of a point, and conic curves (ellipse, parabola, hyperbola).

25%

Tangency, Homothety & Geometric Transformations

Tangency theorems, Apollonius problems, radical axis and center, planar inversion, homothety, homology, and affinity transformations applied to graphic design.

25%

Descriptive Geometry & Orthographic Projection

Dihedral orthographic projection system, representation of points, lines, planes, auxiliary views, intersections, true shapes, abatimiento (rabatment), cuts, and sections.

15%

Axonometric & Perspective Projection Systems

Isometric, dimetric, and cavalier oblique axonometric projections, reduction coefficients, one-point and two-point linear conic perspective, horizon lines, distance points, and shadow projection.

10%

Standardization, Normalization & Design Applications

UNE-EN-ISO graphic representation standards, line types, scales, dimensioning (acotación) rules, modular design grids, assembly representation, and surface developments (desarrollos).

Preparing for the Castilla-La Mancha PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II - UCLM 2026) Exam

What You Need to Know

  • Passing score: Marked on a 0-10 scale. Minimum 4.0 required in Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU Access Phase >= 5.0 to pass).
  • Assessment: The exam consists of practical graphic drawing problems and technical questions covering 5 core topic areas: Geometric Constructions & Polygons (25%), Tangency, Homothety & Geometric Transformations (25%), Descriptive Geometry & Orthographic Projection (25%), Axonometric & Perspective Projection Systems (15%), and Standardization, Normalization & Design Applications (10%). Time limit: 90 minutes.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 52.99 base registration fee for PAU Access Phase (ordinary sitting, set by Universidad de Castilla-La Mancha). Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Castilla-La Mancha PAU Technical Drawing Applied to Plastic Arts and Design II (Dibujo Técnico Aplicado a las Artes Plásticas y al Diseño II - UCLM 2026): Suggested Study Strategy

1Practice fundamental geometric constructions, especially triangles with compound conditions and exact plotting of conics (ellipse, parabola, hyperbola) using points and tangents.
2Master power of a point, radical axis, and radical center to solve complex tangency problems between circles and lines.
3Apply homology and affinity to obtain transformed shapes in flat and volumetric design projects.
4Review the dihedral system calculation of true magnitudes through plane rebattment (abatimiento) and real distances between geometric elements.
5Practice plotting in axonometric perspective (isometric, cavalier) considering reduction coefficients, and in conic perspective using distance points.

Frequently Asked Questions

What is the duration of the Technical Drawing Applied to Plastic Arts and Design II exam in the UCLM PAU?

The exam lasts 90 minutes (1.5 hours) and combines graphical exercise solving with applied theoretical questions.

How is the subject graded in the Castilla-La Mancha PAU?

It is graded on a 0 to 10 scale. In the Access Phase a minimum mark of 4.0 is required to calculate the average with the overall Bachillerato grade (60% Bachillerato + 40% PAU >= 5.0).

Which drawing instruments are permitted during the exam?

Students must use compass, graduated ruler, set square, T-square, protractor, pencils/mechanical pencils (HB, 2H), and eraser. A non-programmable scientific calculator is permitted if specified.

In which language is the official exam presented?

The official exam at the University of Castilla-La Mancha is administered in Castilian (Spanish).

What is the difference between general Technical Drawing II and Technical Drawing Applied to Plastic Arts and Design II?

The arts-applied modality prioritizes plastic expression, industrial and graphic design, affine/homologous transformations in artistic compositions, and spatial representation oriented toward design and the applied arts.

Is this practice bank in the same format as the real Castilla-La Mancha PAU Technical Drawing II (Arts) exam?

No. The official Castilla-La Mancha PAU Technical Drawing II (Arts) paper is a 90-minute written examination in Spanish consisting of open-ended, semi-constructed, and short-answer questions — not multiple choice. This bank is an English-language multiple-choice adaptation designed to test and reinforce the core concepts and skills of the 2º Bachillerato curriculum.